We prove global in time existence of solutions of the Euler compressible equations for a Van der Waals gas when the density is small enough in Hm , for m large enough. To do so, w...
Abstract An extension of the Gauss-Newton algorithm is proposed to find local minimizers of penalized nonlinear least squares problems, under generalized Lipschitz assumptions. Co...
Abstract. Following Gaudry and G¨urel who extended Kedlaya’s point-counting algorithm to superelliptic curves, we introduce Harvey’s running time improvements for large enough...
Abstract. In this paper we introduce the concept of an interactive mathematical document. We give a formal description of such a document, which enables us to introduce the notion ...
We study smooth functions in several variables with a Lipschitz derivative. It is shown that these functions have the “envelope property”: Around zero-derivative points, and on...
An antimagic labeling of a connected graph with m edges is an injective assignment of labels from {1, . . . , m} to the edges such that the sums of incident labels are distinct at...
It is shown that there are 2n n − n−1 m=0 2n−m−1 2m m permutations which are the union of an increasing sequence and a decreasing sequence. 1991 Mathematics Subject Classi...
A limit group is a finitely generated subgroup of a residually free group. We prove the result announced in the tittle. 2000 Mathematics Subject Classification: 20E06, 20E08, 20...
Rice’s Theorem says that every nontrivial semantic property of programs is undecidable. In this spirit we show the following: Every nontrivial absolute (gap, relative) counting p...
In this short note we introduce two new sequences defined using the sum of digits in the representation of an integer in a certain base. A connection to Niven numbers is proposed ...
H. Fredricksen, E. J. Ionascu, Florian Luca, Pante...